<u>EXPLANATION</u><u>:</u>
In ∆ ABC , ∠ABC = 40°
∠ACD is an exterior angle formed by extending BC to D
We know that
The exterior angle of a triangle formed by extending one side is equal to the sum of the opposite interior angles.
∠ACD = ∠CAB + ∠ABC
⇛50° = x° + 40°
⇛x° = 50°-40°
<h3>⇛x° = 10°</h3>
and
In ∆ ACD , AC = CD
⇛ ∠CDA = ∠CAD
Since the angles opposite to equal sides are equal.
Let ∠CDA = ∠CAD = A°
We know that
The sum of all angles in a triangle is 180°
In ∆ ACD,
∠CDA +∠CAD + ∠ACD = 180°
A°+A°+50° = 180°
⇛2A°+50° = 180°
⇛2A° = 180°-50°
⇛2A° = 130°
⇛A° = 130°/2
⇛A° = 65°
now,
∠CDA = ∠CAD = 65°
∠BAC + ∠CAD+y = 180°
Since angles in the same line
10°+65°+y = 180°
⇛75°+y =180°
⇛y = 180°-75°
<h3>⇛y = 105°</h3>
<u>Answer</u><u>:</u> Hence, the value of “x” & “y” will be 10° and 105° respectively.
Answer:
10 in
Step-by-step explanation:
Old proportions:
2 x 3
New proportions
h x 15
Assuming the painting has been increased by a constant scale factor.
Where x is the unknown scale factor, and h is the height after it has been enlarged.

Rearrange second equation:

Substitute:

76%*97
=73.72
I hope this helps.
Comment if you need further explanation.
Answer:
His estimate is somewhat low.
Step-by-step explanation:
The total bill is $9.50 +3.50 = $13.00. The estimated tip is 15% of $10, so Jamal needs to add 15% of $3, or $0.45, to his estimate to leave a tip equal to 15% of the bill.
The tip Jamal has calculated is about 11.5% of the bill. (1.50/13.00 ≈ 0.1154)
The tip Jamal wants to leave is $1.95. (0.15·13.00 = 1.95)
Answer:34.5
Step-by-step explanation:trust me